Search: MSC category 22D25
( $C^$-algebras and $W^*$-algebras in relation to group representations [See also 46Lxx] *$-algebras and $W^*$-algebras in relation to group representations [See also 46Lxx] * )
1. CMB 2012 (vol 57 pp. 424)
||A Note on Amenability of Locally Compact Quantum Groups|
In this short note we introduce a notion called ``quantum injectivity''
of locally compact quantum groups, and prove that it is equivalent
to amenability of the dual. Particularly, this provides a new characterization
of amenability of locally compact groups.
Keywords:amenability, conditional expectation, injectivity, locally compact quantum group, quantum injectivity
Categories:20G42, 22D25, 46L89